dorsal/arxiv
View SchemaAre quantum correlations symmetric ?
| Authors | Karol Horodecki, Michal Horodecki, Pawel Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512224 |
| URL | https://arxiv.org/abs/quant-ph/0512224 |
Abstract
To our knowledge, all known bipartite entanglement measures are symmetric under exchange of subsystems. We ask if an entanglement measure that is not symmetric can exist. A related question is if there is a state that cannot be swapped by means of LOCC. We show, that in general one cannot swap states by LOCC. This allows to construct nonsymmetric measure of entanglement, and a parameter that reports asymmetry of entanglement contents of quantum state. We propose asymptotic measure of asymmetry of entanglement, and show that states for which it is nonzero, contain necessarily bound entanglement.
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"abstract": "To our knowledge, all known bipartite entanglement measures are symmetric\nunder exchange of subsystems. We ask if an entanglement measure that is not\nsymmetric can exist. A related question is if there is a state that cannot be\nswapped by means of LOCC. We show, that in general one cannot swap states by\nLOCC. This allows to construct nonsymmetric measure of entanglement, and a\nparameter that reports asymmetry of entanglement contents of quantum state. We\npropose asymptotic measure of asymmetry of entanglement, and show that states\nfor which it is nonzero, contain necessarily bound entanglement.",
"arxiv_id": "quant-ph/0512224",
"authors": [
"Karol Horodecki",
"Michal Horodecki",
"Pawel Horodecki"
],
"categories": [
"quant-ph"
],
"title": "Are quantum correlations symmetric ?",
"url": "https://arxiv.org/abs/quant-ph/0512224"
},
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